Home / 159.75-415.13

Finding the Third Proportional to 159.75 and 415.13

Calculator

Solution

The third proportional to 159.75 and 415.13 is: 1,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 415.13 = 415.13 : x
  2. Step 2: Convert to fraction form
    159.75/415.13 = 415.13/x
  3. Step 3: Cross multiply
    159.75x = 415.13 × 415.13
  4. Step 4: Simplify right side
    159.75x = 172,328.77
  5. Step 5: Solve for x
    x = 172,328.77/159.75
  6. Step 6: Final answer
    x = 1,078.74

Related Problems

Find third proportional to 79.88 and 207.56
Half scale
Find third proportional to 319.50 and 830.25
Double scale
Find third proportional to 162 and 420
Similar ratio
Find third proportional to 239.63 and 622.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.